Browsing UMBC Mathematics and Statistics Department by Issue Date
Now showing items 1-20 of 351
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Parallelisation of BICG-STAB algorithm for finite element computations
(2003-09-03)We describe parallelization and implementation of BICG-STAB method for systems of unsymmetric linear equations arising in nite element discretization. Global matrix is not constructed, we use element by element ... -
Brief Introduction to Linear System Theory
(2005)The purpose of this paper is to provide the reader with basics of linear system theory. We consider a system given by ordinary differential equation of n-th order. We show its transformation into the state equation (system ... -
Finite Element Formulation of Three-dimensional Nonlinear Elasticity Problem
(2005-04)The purpose of the present work is to give a brief description of the finite elasticity and of its approximation via finite element method. We formulate the problem for the case of compressible elasticity. Weak formulation ... -
Finite Element Solution Algorithm for Nonlinear Elasticity Problems by Domain Decomposition Method
(2005-06-06)The purpose of the present work is to give a brief description of the finite elasticity and of its approximation via finite element method. We formulate the problem for the case of compressible elasticity. Weak formulation ... -
Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods
(Elsevier, 2006-10-24)We propose a class of methods for the adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods. The methods work by adding coarse degrees of freedom constructed from eigenvectors ... -
Adaptive Coarse Space Selection in the BDDC and the FETI-DP Iterative Substructuring Methods: Optimal Face Degrees of Freedom
(Springer, 2007)We propose adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods by adding coarse degrees of freedom (dofs) on faces between substructures constructed using eigenvectors associated ... -
Topics in Structured Convex Optimization and Nonlinear Programming
(2007-07-12)A convex programming problem in a conic form is a minimization of a linear function $\langle c, x\rangle$ over the intersection of an affine space $\{x\in \mathbb{R}^n:\;Ax=b\}$ and a convex cone $K$. In this thesis, we ... -
Geomagnetic Data Assimilation Using Ensemble Methods to Estimate Forecast Error Covariance
(2007-11-26)Data assimilation is the methodology to assimilate observational data with numerical models for better estimation of the true physical states. This research focuses on application of ensemble estimation of error covariance ... -
Spatio-Temporal Modeling of Rain Rates
(2007-11-26)Modeling episodes of heavy rain is an important component of hydrological studies. Based on the analysis of ship-borne radar data over the tropical ocean, we propose a new class of probability densities that capture the ... -
PROPERTIES OF BIOEQUIVALENCE TESTS UNDER RANKED SET SAMPLING (RSS) AND SIMPLE RANDOM SAMPLING (SRS
(2007-11-26)Bioequivalence test procedure is used in clinical trials and environmental studies. In clinical trials testing equivalence is used to assess the different formulations of two treatment drugs and the relevance of this is ... -
BDDC and FETI-DP under Minimalist Assumptions
(Springer, 2007-11-30)The FETI-DP, BDDC and P-FETI-DP preconditioners are derived in a particulary simple abstract form. It is shown that their properties can be obtained from only on a very small set of algebraic assumptions. The presentation ... -
Convergence Order Studies for Elliptic Test Problems with COMSOL Multiphysics
(2008)The convergence order of fi nite elements is related to the polynomial order of the basis functions used on each element, with higher order polynomials yielding better convergence orders. However, two issues can prevent ... -
Parallel Performance Studies for a Hyperbolic Test Problem
(2008)The performance of parallel computer code depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. ... -
MVAPICH2 vs. OpenMPI for a Clustering Algorithm
(2008)Affinity propagation is a clustering algorithm that functions by identifying similar data points in an iterative process. Its structure allows for taking full advantage of parallel computing to enable the solution of larger ... -
Parallel Performance Studies for a Clustering Algorithm
(2008)Affinity propagation is a clustering algorithm that functions by identifying similar datapoints in an iterative process. Its structure allows for taking full advantage of parallel computing by enabling the solution of ... -
Parallel Performance Studies for a Parabolic Test Problem
(2008)The performance of a parallel computer depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. This ... -
Parallel Performance Studies for an Elliptic Test Problem
(2008)The performance of parallel computer code depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. The ... -
On Multilevel BDDC
(springer, 2008)We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent ... -
Estimation Procedures for Multinomial Models with Overdispersion
(2008-01-01)The phenomenon of overdispersion arises when categorical or count data exhibit variability larger than expected. Multinomial data commonly demonstrate this phenomenon when the counts arise from correlated or cluster ... -
Empirical Bayes Methods for Proteomics
(2008-02-05)Proteomics is the science that deals with high-throughput analysis of proteins. The study of proteins relies on efficient protein separation technique. 2D PAGE is a powerful technique for separating complex mixtures of ...